5683461442560 has 1056 divisors, whose sum is σ = 22197487732992. Its totient is φ = 1332642447360.

The previous prime is 5683461442507. The next prime is 5683461442601. The reversal of 5683461442560 is 652441643865.

5683461442560 is a `hidden beast` number, since 5 + 6 + 8 + 34 + 6 + 1 + 4 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 5683461442497 and 5683461442506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332153662 + ... + 2332156098.

It is an arithmetic number, because the mean of its divisors is an integer number (21020348232).

Almost surely, 2^{5683461442560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5683461442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098743866496).

5683461442560 is an abundant number, since it is smaller than the sum of its proper divisors (16514026290432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5683461442560 is a wasteful number, since it uses less digits than its factorization.

5683461442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 5683461442560 in words is "five trillion, six hundred eighty-three billion, four hundred sixty-one million, four hundred forty-two thousand, five hundred sixty".